The phrases you would like to be written as expressions are not listed. I would nevertheless, explain how to write phrases as expressions so that the same approach could be applied to you own question.
Phrases are dynamic, depending on the problem. They do not necessarily take a particular form.
The constant thing about phrases is the operators connecting the words in the phrases. Theses operators are:
Addition (+), Subtraction (-), Division (÷), and Multiplication (×).
In word problems, it is a matter of interpretation, these operators can be written in many ways.
ADDITION
plus
the sum of
increase
grow
add
profit
And so on.
SUBTRACTION
minus
loss
decrease
reduce
subtract
And so on
MULTIPLICATION
times
multiply
triple
And so on
DIVISION
split
share
divide
distribute
And so on.
Examples
(1) 56 is added to a number to give 100
Interpretation: x + 56 = 100
(2)The difference between Mr. A and Mr. B is 5
Interpretation: A - B = 5
(3) This load (L1) is three times heavier than that one (L2)
Interpretation: L1 = 3L2
(4) Share this orange (P) equally between the three children
Interpretation: P/3
First compute the first-order partial derivatives and find the critical points.
Both first order derivatives vanish at
.
Computing the Hessian, we get
We have
, which means
is an extremum of
. Since
, this extremum is a local maximum of
with a value of 21.
Answer:
C. The expression is not equivalent, but it is completely factored.
Answer:
The top right graph.
Step-by-step explanation:
If you find the mean for all the graphs you get:
Graph 1: 7 Graph 2: 2
Graph 2: 7 Graph 4: 7
To find the mean you all all the numbers up and divide it by the number of data points for example heres the first graph:
8 + 8 +8 +8 +8 +8 +1 = 49 Add the data points
49 / 7 = 7 Divide by the total amount of points which is seven
